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Influence of fractal dimension on diffusion-controlled reactions

✍ Scribed by M.A. López-Quintela; J.C. Pérez-Moure; M.C. Buján-Núñez; J. Samios

Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
420 KB
Volume
138
Category
Article
ISSN
0009-2614

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✦ Synopsis

The concept of a diffusion coefficient dependent on a differential fractal dimension has been introduced into the theoretical treatment of diffusion-controlled reactions between particles lacking long-range interactions.

By this means Smoluchowski's theory can be extended to the more realistic case in which the mean free path of the reacting particles is finite. The theoretical calculations, corroborated by computer simulation experiments, show that reduction of the fractal dimension implies an effective reduction of the rate constant.

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